Question

Rationalize 5+5√3/ 3+√2 ​

Answer 1

Answer:

$\frac{5 + 5 \sqrt{3} }{3 + \sqrt{2} } \\ \frac{5 + 5 \sqrt{3} }{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} } \\ \frac{(5 + 5 \sqrt{3} )(3 - \sqrt{2} )}{( 3) {}^{2} - ( \sqrt{2} ) {}^{2} } \\ \frac{15 - 5 \sqrt{2} + 15 \sqrt{3} - 5 \sqrt{6} }{9 - 2} \\ \frac{15 - 5 \sqrt{2} + 15 \sqrt{3} - 5 \sqrt{6} }{7}$